On inhomogeneous fractional differential equations in banach spaces

In this article, we study inhomogeneous fractional abstract differential equations in Banach spaces. We prove the existence and uniqueness of strong solutions of an inhomogeneous fractional differential equation, when the coefficient operator of the equation generates an fractional semigroup. Under some general conditions, we obtain the existence and uniqueness of mild solutions of another inhomogeneous fractional differential equation with nonlinear perturbations and nonlocal conditions.